3/5 + 1/6 as a fraction

Learn how to find what is 3/5 plus 1/6 in fraction form just in a few minutes. We have covered the easiest method to write 3/5 + 1/6 as a fraction and decimal.

Summary: 3/5 plus 1/6 = 23/30
Since both fractions have unequal denominators, 3/5 plus 1/6 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 3/5 and fraction 1/6 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 6. 30 is the LCM of 5 and 6. Multiplying the LCM 30 with the numerators and denominators of both fractions (3/5 x 30/30) + (1/6 x 30/30), and simplify further in order to have the common denominator. So the equivalent fraction for 3/5 is 18/30 and for 1/6 is 5/30. By simplifying this fraction addition 18/30 + 5/30, it becomes 23/30.

Pie Chart Representation: 3/5 + 1/6 = 23/30

CALCULATION: 3/5 + 1/6 as a fraction
3/5 + 1/6 = (?)
3/5 + 1/6 = [(3 x 6) + (1 x 5)]/(5 x 6)
= (18 + 5)/30
= 23/30
3/5 + 1/6 = 23/30
3/5 plus 1/6 as a fraction is 23/30.

where
3/5 is a proper fraction as an addend,
1/6 is a proper fraction as an addend,
23/30 is the sum of 3/5 and 1/6.

---

3/5 plus 1/6 as a decimal
3/5 + 1/6 = 23/30
23/30 = 0.7667
(3/5) + (1/6) as a decimal is 0.7667

where
0.7667 is the sum of 3/5 and 1/6.

The below workout with step by step calculation shows how to find the equivalent fraction between 3/5 and 1/6 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 3/5 plus 1/6 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(3/5) + (1/6) using LCM Method:
What is 3/5 plus 1/6 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/5
Fraction B: 1/6

What to be found?
(3/5) + (1/6) = ?
Find what's the sum of 3/5 and 1/6.

step 2 Compare the denominators of fractions 3/5 and 1/6 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 3/5 and 1/6 are not equal, it is said to be unlike fractions addition.

step 3For unlike fractions addition, find the LCM (least common multiple) of both denominators of fractions 3/5 and 1/6:
The LCM of 5 and 6 is 30.

step 4 Write the fractions 3/5 and 1/6 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 3/5 + 1/6
= [(3 x 30)/(5 x 30)] + [(1 x 30)/(6 x 30)]

step 5 Simplify the expression to have common denominator:
= 18/30 + 5/30

step 6 Take the common values out and rewrite the above expression like the below:
= 1/30 x (18/1 + 5/1)
= 1/30 x (18 + 5)

step 7Simplify the above expression further:
= 1/30 x 23
= 23/30
3/5 + 1/6 = 23/30

Hence,
3/5 plus 1/6 as a fraction is 23/30.

---

3/5 + 1/6 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/5
Fraction B: 1/6

What to be found?
(3/5)+(1/6) = ?
Find what's the sum of 3/5 and 1/6.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (3 x 6), find the product of numerator of Fraction B and denominator of Fraction A (1 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 6) and rewrite the equation as like the below:
= (3 x 6) + (1 x 5)/(5 x 6)

step 3 Simplify and rewrite the fraction:
= (18 + 5)/30
3/5 + 1/6 = 23/30

Hence,
3/5 plus 1/6 in fraction is 23/30